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Exponent and scientific notation basics
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A cell is 3 × 10 − ⁶ meters wide. What is the width of 1000 cells?
3×10 −³ meters
A computer processes 5 × 10⁶ bits per second. How many bits in 3 seconds?
1.5×10⁷
Which is greater: 5.6×10 −⁵ or 5.6×10−³
5.6 × 10⁻³ is greater
Which is greater: the diameter of a red blood cell ( 6.2 × 10−⁶m) or a virus (1.5 × 10−⁸)?
6.2 × 10⁻⁶ m is greater
The half-life of Uranium 234 is 2.5 × 10⁵ years and the half-life of Plutonium is 8.0 × 10⁷ years. How many times greater is the half-life of Plutonium than Uranium 234?
(8.0 × 10⁷ ) / (2.5 × 10⁵ ) = 3.2 × 10² = 320 times greater.
Express in standard form: 7.2 × 10³
7200
Express in scientific notation: 4,500,000
4.5×10⁶
Simplify and evaluate: ( 5² )²
5⁴ = 625
Simplify: 10⁷ ÷ 10⁵
10² =100
Simplify: ( 2³ )²
2⁶ =64
Simplify: 3² × 3⁴
3⁶
What is any number raised to the power of 0?
1 (e.g., 5⁰ = 1)
Simplify: ( 𝑏³ )⁴
b¹² (Multiply exponents)
Simplify: 𝑥 ⁹ ÷ 𝑥 ³
x ⁶ (Subtract exponents)
Simplify: 𝑎 ⁴ × 𝑎 ⁶
𝑎 ¹⁰ (Add exponents)
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